A simplified counterexample to the integral representation of the relaxation of double integrals
We show that the lower-semicontinuous envelope of a non-convex double integral may not admit a representation as a double integral. By taking an integrand with value $+\infty $ except at three points (say $-1$, $0$ and $1$) we give a simple proof and an explicit formula for the relaxation that hopef...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-05-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.558/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
